Search a number
-
+
122642990334 = 23215153338461
BaseRepresentation
bin111001000111000010…
…1111000010011111110
3102201120012102102122100
41302032011320103332
54002133101142314
6132201424525530
711601131134404
oct1621605702376
9381505372570
10122642990334
1148015852957
121b928a808a6
13b74692cc87
145d16379474
1532cc028c09
hex1c8e1784fe

122642990334 has 48 divisors (see below), whose sum is σ = 267568033824. Its totient is φ = 40597848000.

The previous prime is 122642990311. The next prime is 122642990347. The reversal of 122642990334 is 433099246221.

122642990334 is a `hidden beast` number, since 1 + 2 + 26 + 4 + 299 + 0 + 334 = 666.

122642990334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122642990334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14490864 + ... + 14499324.

It is an arithmetic number, because the mean of its divisors is an integer number (5574334038).

Almost surely, 2122642990334 is an apocalyptic number.

122642990334 is an abundant number, since it is smaller than the sum of its proper divisors (144925043490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122642990334 is a wasteful number, since it uses less digits than its factorization.

122642990334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 122642990334 in words is "one hundred twenty-two billion, six hundred forty-two million, nine hundred ninety thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 5333 8461 10666 15999 16922 25383 31998 47997 50766 76149 95994 152298 805283 1277611 1610566 2415849 2555222 3832833 4831698 7247547 7665666 11498499 14495094 22996998 45122513 90245026 135367539 270735078 406102617 812205234 6813499463 13626998926 20440498389 40880996778 61321495167 122642990334